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ruslelena [56]
3 years ago
6

Need a number line to show the answer to 1/10 ÷2

Mathematics
1 answer:
GrogVix [38]3 years ago
7 0
Make a number line and start at 0 then go up by .01 each time the answers of 1/10 divided by 2 is .05, so just make a point for that to

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In triangle △ABC, ∠ABC=90°,
makvit [3.9K]
<h3>Answer: As a fraction, HC is 21/4 units long</h3><h3>In decimal form, HC is 5.25 units long.</h3>

==============================================

Work Shown:

Let x = HC and y = BH

AH = 12-x since AH = 12-HC and x = HC

---------------

See the attached drawing below. The altitude BH forms three similar triangles which makes the proportion below possible

HC/BH = BH/AH

x/y = y/(12-x) ... substitution

x(12-x) = y^2 ... cross multiply

y^2 = -x^2+12x

note how I isolated y^2 instead of y. We will use this equation later.

---------------

Focus on triangle AHB. Use the pythagorean theorem

(BH)^2 + (AH)^2 = (AB)^2

(y)^2 + (12-x)^2 = (9)^2

y^2 + 144-24x+x^2 = 81

-x^2+12x + 144-24x+x^2 = 81 ... replace y^2 with -x^2+12x

-x^2+12x + 144-24x+x^2-81 = 0

-12x + 63 = 0

-12x = -63

x = -63/(-12)

x = 5.25 <<-- answer in decimal form

x = 5 + 0.25

x = 5 + 1/4

x = 20/4 + 1/4

x = 21/4 <<-- answer as a fraction

3 0
3 years ago
What is the volume of the following rectangular prism? THIS IS THE SECOND TIME I ASK&gt; PLZ ASAP WILL MARK BRAINLEST!!!!
Eduardwww [97]

Answer:

14 \frac{2}{3\\} units³.

Step-by-step explanation:

6 0
3 years ago
The upper quartile of a set of data is the mode of the upper half of the data.
melamori03 [73]
Your answer is false the upper quartile is the median as in middle number not mode.
7 0
3 years ago
The average score on a standardized test is 750 points with a standard deviation of 50 points. If 2,000 students take the test a
tatuchka [14]
I the average score is 750 and standard deviation ( sigma ) is 50 points, then score 700 - 800 is between (750 - 1 sigma) and (750 + 1 sigma).
That is 34.1 % + 34.1 % = 68.2 % of the whole population. 
2,000 · 0.682 = 1.364 
We expect 1,364 students to score between 700 and 800 points. 
6 0
3 years ago
What is the measure of angle a and b?​
Anestetic [448]

Answer:

a number

Step-by-step explanation:

more info needed at least a pic or thing

6 0
2 years ago
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